[[0,2,3,4,5,7,8,11,12,13,14,18,20,21,22,23,26,27,28,29,31,32,33,36,37,38,39,41,43,45,46,256,257,258,260,262,263,264,265,266,267,268,269,270,271,273,274,275,276,277,281,282,283,284,287,290,292,294,295,296,298,301,302,305,306,515,519,524,531,547,550,554,557,562,566,574,576,582,592,595,599,601,615,617,618,619,634,652,659,664,665,669,671,674,689,691,703,704,707,709,733,737,738,742,756,760,767,777,783,789,795,800,801,809,821,830,834,839,855,875,877,878,882,888,892,895,898,907,908,924,925,928,930,934,937,941,945,947,948,959,961,966,982,990,1007,1014,1019],{"0":6,"1":16,"2":17,"3":19,"4":30,"5":35,"6":40,"7":42,"8":44,"9":48,"10":49,"11":51,"12":52,"13":53,"14":54,"15":56,"16":57,"17":58,"18":61,"19":65,"20":69,"21":74,"22":75,"23":77,"24":79,"25":83,"26":86,"27":87,"28":89,"29":91,"30":92,"31":95,"32":101,"33":104,"34":106,"35":107,"36":108,"37":259,"38":261,"39":278,"40":280,"41":286,"42":288,"43":289,"44":293,"45":299,"46":312,"47":313,"48":314,"50":316,"51":317,"52":318,"53":319,"54":323,"55":324,"56":325,"57":331,"58":333,"59":335,"60":336,"61":340,"62":348,"63":350,"64":354,"65":356,"66":357,"67":362,"68":365,"69":514,"70":517,"71":528,"72":532,"73":536,"74":541,"75":542,"76":548,"77":563,"78":571,"79":587,"80":588,"81":590,"82":591,"83":607,"84":609,"85":621,"86":628,"87":631,"88":638,"89":645,"90":653,"91":655,"92":679,"93":680,"94":683,"95":694,"96":705,"97":708,"98":711,"99":744,"100":746,"101":747,"102":749,"103":753,"104":788,"105":798,"106":812,"107":813,"108":814,"109":846,"110":847,"111":849,"112":851,"113":858,"114":859,"115":862,"116":874,"117":884,"118":885,"119":893,"120":915,"121":919,"122":929,"123":938,"124":944,"125":960,"126":975,"127":984,"128":994,"129":1017},[1,9,15,24,34,47,50,55,59,62,63,64,67,70,72,73,78,80,82,85,88,93,97,98,100,102,105,109,110,111,116,119,121,123,126,127,135,140,141,145,146,150,159,160,163,166,169,272,279,285,291,297,300,303,304,307,308,309,320,321,322,326,327,328,332,334,337,342,343,344,345,346,347,349,351,352,353,355,363,366,368,369,373,376,380,382,383,385,387,391,398,402,403,405,411,422,530,543,551,553,556,578,581,596,597,603,667,684,699,714,715,721,730,740,743,761,762,773,775,776,779,784,786,803,810,815,820,822,843,850,854,863,873,879,886,899,903,918,920,950,962,964,965,972,976,981,987,998,1015],[10,25,60,66,71,84,94,103,112,113,114,115,117,118,120,129,134,136,138,143,144,152,153,157,158,162,172,177,179,181,183,184,186,197,201,202,207,211,213,219,221,310,329,330,338,339,341,359,361,364,372,375,377,384,386,389,394,397,401,406,409,410,412,415,420,421,425,433,440,441,442,443,448,453,455,457,460,461,469,474,477,482,488,522,539,540,549,555,575,577,605,606,620,625,643,651,656,657,685,687,695,706,716,729,732,734,735,750,763,770,772,780,785,792,796,802,804,807,816,818,823,827,835,837,905,931,932,933,936,943,951,957,958,973,995,1001,1002,1018,1021],[68,76,81,90,96,99,122,124,130,131,132,133,137,142,147,148,149,151,156,164,165,167,168,171,174,176,178,189,190,192,193,194,195,196,204,208,214,218,223,224,226,227,230,239,241,244,246,247,248,311,358,367,370,371,374,381,388,392,393,395,396,399,408,413,417,418,419,423,424,429,434,439,444,446,451,459,463,464,470,472,473,476,481,489,490,499,503,504,506,511,512,513,545,559,560,565,570,583,613,627,644,675,676,693,696,702,722,724,728,731,741,766,771,799,808,817,841,853,861,864,866,867,872,896,897,904,913,926,986,1011,1012],[125,128,139,154,155,161,173,175,180,182,185,187,188,191,198,203,205,210,215,217,229,231,232,235,237,245,250,251,252,253,378,379,400,404,407,414,416,426,427,428,430,431,432,447,449,450,452,454,456,458,462,465,467,468,480,485,486,487,491,492,502,509,516,521,533,546,561,569,580,600,604,610,611,623,632,633,641,646,663,686,692,697,712,725,727,736,757,778,781,791,833,836,845,852,871,883,890,894,902,911,942,949,953,968,974,980,991,1000,1008,1010,1022,1023],[170,199,200,206,209,212,216,220,222,225,228,233,234,236,240,243,249,254,360,390,435,437,445,466,471,475,479,483,495,496,498,501,505,510,523,525,526,527,534,552,564,586,594,614,624,629,635,639,648,668,673,682,688,739,755,768,794,805,811,824,840,844,869,881,887,914,927,935,955,977,988,989,997,999,1006,1009],[238,242,255,436,438,478,484,500,507,508,535,537,568,584,593,626,630,636,660,672,681,701,713,720,754,758,759,806,825,828,831,856,870,876,889,891,900,917,921,940,971,1020],[493,494,497,518,538,598,640,647,690,717,719,726,765,774,782,797,838,909,912,922,978,983,1016],[520,529,544,558,567,616,654,677,710,718,769,790,848,860,880,901,916,946,979,992,993],[573,608,637,649,662,700,723,745,752,764,842,906,952,956,967,969,996,1013],[585,589,698,748,829,857,865,923,939,954],[642,658,678,787,819,910,970,1003],[622,650,661,666,985,1004],[579,612,670,826,832,868,963],[572,793,1005],[602,751]]